What is the Greatest Common Factor of 21144 and 21160?

Greatest common factor (GCF) of 21144 and 21160 is 8.

GCF(21144,21160) = 8

We will now calculate the prime factors of 21144 and 21160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21144 and 21160.

How to find the GCF of 21144 and 21160?

We will first find the prime factorization of 21144 and 21160. After we will calculate the factors of 21144 and 21160 and find the biggest common factor number .

Step-1: Prime Factorization of 21144

Prime factors of 21144 are 2, 3, 881. Prime factorization of 21144 in exponential form is:

21144 = 2³ × 3¹ × 881¹

Step-2: Prime Factorization of 21160

Prime factors of 21160 are 2, 5, 23. Prime factorization of 21160 in exponential form is:

21160 = 2³ × 5¹ × 23²

Step-3: Factors of 21144

List of positive integer factors of 21144 that divides 21144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 881, 1762, 2643, 3524, 5286, 7048, 10572

Step-4: Factors of 21160

List of positive integer factors of 21160 that divides 21144 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 529, 920, 1058, 2116, 2645, 4232, 5290, 10580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21144 and 21160. The biggest common factor number is the GCF number.
So the greatest common factor 21144 and 21160 is 8.

Also check out the Least Common Multiple of 21144 and 21160